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function dy=rigid(t,y)
dy=zeros(4,1);
ey=11.65e-25;Ny=2.01e+27;k1=5e-22;
k2=5e-22;ry=1000;c=3e+8;n1=1.5;ee=8e-25;
re=125;C=6e-25;n2=1.75;l1=0.0031;l2=0.0019;L=0.005;egsa=3.5e-25;eesa=1e-26;R=0.85;
Ns0=1.29e24;l=(n1-1).*l1+(n2-1).*l2+L;
tr=2*l/(c*(log(1/R)+0.04));
ta=3.4e-7;
Pin=200;wp=0.1e-3;h=6.62e-34;
vp=c/(1535e-9);
Wp=2.*Pin.*exp(-280.*0.0031)./(pi.*h.*vp.*(wp).^2);
dy(1)=ey.*Ny.*Wp-k1.*y(1).*(9.88e25-y(2))-k2.*y(1).*y(2)-y(1).*ry;
dy(2)=k1.*y(1).*(9.88e25-y(2))-(2*y(2)-9.88e25).*(c./n1).*ee.*y(3)-y(2).*re-C.*(y(2)).^2;
dy(3)=y(3)./tr.*
(2.*ee.*(2.*y(2)-9.88e+25).*l1-2.*egsa.*y(4).*l2-2.*eesa.*(Ns0-y(4)).*l2-log(1./R)-0.04);
dy(4)=-egsa.*c./n2.*y(3).*y(4)+(Ns0-y(4))./ta;
end


[T,Y] = ode45(@rigid,[0 5e-08],[0 0 0 1.29e24]
,5e-09)

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